Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
348 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 137 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #20295436 | C2 | semidirect |
| 4. #20295435 | C2 | semidirect |
| 5. #20295432 | C2 | semidirect |
| 6. #20295427 | C2 | semidirect |
| 7. #20295426 | C2 | semidirect |
| 11. #501×C109 | C2 | semidirect |
| 49. #13182012 | Q8 | semidirect |
| 122. C109 | #3166 | semidirect |
| 128. #501 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295581 | 2 |
| #125×D109 | 2 |
| #20295436 | 2 |
| #20295435 | 2 |
| #20295432 | 2 |
| #20295427 | 2 |
| #20295426 | 2 |
| #20295067 | 2 |
| #20295065 | 2 |
| #20294978 | 2 |
| #501×C109 | 2 |
| #3166 | 109 |